Question

evaluate (99)³by using suitable identity​

Answer 1

Answer:

(100-1)^3. (a-b)^3

Step-by-step explanation:

a3+b3-3a2b+3ab2

(100)3+(1)3-3(100)2*1+3(100)*(1)2

1000000+1-30000+300

970299

Answer 2

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$\sf ⇒(99 {)}^{3} = (100 - 1)3$

$\sf ➤By \: using \: the \: identity$

$\sf (a - b {)}^3 = a^3 - b^3 - 3xy (x - y)$

$\sf ➩(300 - 1 {)}^{3}$

$\sf ➩{100}^{3} - {1}^{3} - 3(100)(1)(100 -1 )$

$\sf ➩1000000 - 1 - 300(99)$

$\sf ➩999999 - 29700$

$\sf ➩997029$

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